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Title Modification of Gruss Type Inequalities Via Conformable Fractional Integral

Author(s) Sumbal Farooq

Abstract In this thesis, Grüss type integral inequalities were established for conformable fractional integral given by Katugampola [11]. Grüss type integral provides the estimation of a function to its integral mean. It is useful in error estimations of the quadrature rules in numerical analysis. Grüss type integral inequality to weighted Ostrowski-Grüss type inequality are modified for differentiable mapping in terms of the upper and lower bounds of the first derivative via Katugampola conformable fractional integral. The inequality is then applied to numerical integration. Afterward, the application to numerical integration of modified Grüss type inequality to weighted Ostrowski-Grüss inequality via conformable fractional integral for fractional differentiable mapping is described.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2023-07-24

Subject Mathematics

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